Convert Doppler shift to speed


radvel = dop2speed(Doppler_shift,wavelength)


radvel = dop2speed(Doppler_shift,wavelength) returns the radial velocity in meters per second. This value corresponds to the one-way Doppler shift, Doppler_shift, for the wavelength, wavelength, in meters.

This function supports single and double precision for input data and arguments.


collapse all

Calculate the radial velocity of an automobile based on the Doppler shift of a continuous-wave radar. The radar carrier frequency is 24.15 GHz. Assume a doppler shift of 2.880 kHz.

f0 = 24.15e9;
lambda = physconst('LightSpeed')/f0;
dopshift = 2.880e3;
radvel = dop2speed(dopshift,lambda)
radvel = 35.7516

The radial velocity is 35.75 meters per second or 80 miles/hour.

More About

collapse all

Doppler-Radial Velocity Relation

The radial velocity of a source relative to a receiver can be computed from the one-way Doppler shift:


where Vs,r denotes the radial velocity of the source relative to the receiver, Δf is the Doppler shift in hertz, and λ is the carrier frequency wavelength in meters.


[1] Rappaport, T. Wireless Communications: Principles & Practices. Upper Saddle River, NJ: Prentice Hall, 1996.

[2] Skolnik, M. Introduction to Radar Systems, 3rd Ed. New York: McGraw-Hill, 2001.

Extended Capabilities

Introduced in R2011a